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Finding the Fourth Proportional to 78,457.57, 108,288.80 and 51,602.65

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Solution

The fourth proportional to 78,457.57, 108,288.80 and 51,602.65 is: 71,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,457.57 : 108,288.80 = 51,602.65 : x
  2. Step 2: Convert to fraction form
    78,457.57/108,288.80 = 51,602.65/x
  3. Step 3: Cross multiply
    78,457.57x = 108,288.80 × 51,602.65
  4. Step 4: Simplify right side
    78,457.57x = 5,587,989,045.32
  5. Step 5: Solve for x
    x = 5,587,989,045.32/78,457.57
  6. Step 6: Final answer
    x = 71,223.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.