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Finding the Fourth Proportional to 78,762.40, 108,690.78 and 42,952.48

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Solution

The fourth proportional to 78,762.40, 108,690.78 and 42,952.48 is: 59,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,762.40 : 108,690.78 = 42,952.48 : x
  2. Step 2: Convert to fraction form
    78,762.40/108,690.78 = 42,952.48/x
  3. Step 3: Cross multiply
    78,762.40x = 108,690.78 × 42,952.48
  4. Step 4: Simplify right side
    78,762.40x = 4,668,538,554.13
  5. Step 5: Solve for x
    x = 4,668,538,554.13/78,762.40
  6. Step 6: Final answer
    x = 59,273.70

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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.