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Finding the Fourth Proportional to 78,154.80, 107,853.48 and 42,345.72

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Solution

The fourth proportional to 78,154.80, 107,853.48 and 42,345.72 is: 58,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,154.80 : 107,853.48 = 42,345.72 : x
  2. Step 2: Convert to fraction form
    78,154.80/107,853.48 = 42,345.72/x
  3. Step 3: Cross multiply
    78,154.80x = 107,853.48 × 42,345.72
  4. Step 4: Simplify right side
    78,154.80x = 4,567,133,265.11
  5. Step 5: Solve for x
    x = 4,567,133,265.11/78,154.80
  6. Step 6: Final answer
    x = 58,437.02

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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.