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Finding the Fourth Proportional to 78,528, 117,829.80 and 39,088.56

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Solution

The fourth proportional to 78,528, 117,829.80 and 39,088.56 is: 58,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,528 : 117,829.80 = 39,088.56 : x
  2. Step 2: Convert to fraction form
    78,528/117,829.80 = 39,088.56/x
  3. Step 3: Cross multiply
    78,528x = 117,829.80 × 39,088.56
  4. Step 4: Simplify right side
    78,528x = 4,605,797,207.09
  5. Step 5: Solve for x
    x = 4,605,797,207.09/78,528
  6. Step 6: Final answer
    x = 58,651.66

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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.