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Finding the Fourth Proportional to 72,368.76, 109,046.10 and 59,509.20

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Solution

The fourth proportional to 72,368.76, 109,046.10 and 59,509.20 is: 89,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,368.76 : 109,046.10 = 59,509.20 : x
  2. Step 2: Convert to fraction form
    72,368.76/109,046.10 = 59,509.20/x
  3. Step 3: Cross multiply
    72,368.76x = 109,046.10 × 59,509.20
  4. Step 4: Simplify right side
    72,368.76x = 6,489,246,174.12
  5. Step 5: Solve for x
    x = 6,489,246,174.12/72,368.76
  6. Step 6: Final answer
    x = 89,669.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.