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Finding the Fourth Proportional to 78,437.76, 117,436.80 and 42,769.92

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Solution

The fourth proportional to 78,437.76, 117,436.80 and 42,769.92 is: 64,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,437.76 : 117,436.80 = 42,769.92 : x
  2. Step 2: Convert to fraction form
    78,437.76/117,436.80 = 42,769.92/x
  3. Step 3: Cross multiply
    78,437.76x = 117,436.80 × 42,769.92
  4. Step 4: Simplify right side
    78,437.76x = 5,022,762,541.06
  5. Step 5: Solve for x
    x = 5,022,762,541.06/78,437.76
  6. Step 6: Final answer
    x = 64,035.01

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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.