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Finding the Fourth Proportional to 97,970.40, 146,955.60 and 81,640.80

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Solution

The fourth proportional to 97,970.40, 146,955.60 and 81,640.80 is: 122,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,970.40 : 146,955.60 = 81,640.80 : x
  2. Step 2: Convert to fraction form
    97,970.40/146,955.60 = 81,640.80/x
  3. Step 3: Cross multiply
    97,970.40x = 146,955.60 × 81,640.80
  4. Step 4: Simplify right side
    97,970.40x = 11,997,572,748.48
  5. Step 5: Solve for x
    x = 11,997,572,748.48/97,970.40
  6. Step 6: Final answer
    x = 122,461.20

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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.