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Finding the Fourth Proportional to 97,806,640.80, 146,709,961.20 and 52,457,008.80

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Solution

The fourth proportional to 97,806,640.80, 146,709,961.20 and 52,457,008.80 is: 78,685,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806,640.80 : 146,709,961.20 = 52,457,008.80 : x
  2. Step 2: Convert to fraction form
    97,806,640.80/146,709,961.20 = 52,457,008.80/x
  3. Step 3: Cross multiply
    97,806,640.80x = 146,709,961.20 × 52,457,008.80
  4. Step 4: Simplify right side
    97,806,640.80x = 7,695,965,725,716,057
  5. Step 5: Solve for x
    x = 7,695,965,725,716,057/97,806,640.80
  6. Step 6: Final answer
    x = 78,685,513.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.