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Finding the Fourth Proportional to 78,762.84, 108,691.74 and 42,952.02

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Solution

The fourth proportional to 78,762.84, 108,691.74 and 42,952.02 is: 59,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,762.84 : 108,691.74 = 42,952.02 : x
  2. Step 2: Convert to fraction form
    78,762.84/108,691.74 = 42,952.02/x
  3. Step 3: Cross multiply
    78,762.84x = 108,691.74 × 42,952.02
  4. Step 4: Simplify right side
    78,762.84x = 4,668,529,790.31
  5. Step 5: Solve for x
    x = 4,668,529,790.31/78,762.84
  6. Step 6: Final answer
    x = 59,273.25

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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.