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Finding the Fourth Proportional to 101,776.64, 140,446.80 and 56,456.40

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Solution

The fourth proportional to 101,776.64, 140,446.80 and 56,456.40 is: 77,907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,776.64 : 140,446.80 = 56,456.40 : x
  2. Step 2: Convert to fraction form
    101,776.64/140,446.80 = 56,456.40/x
  3. Step 3: Cross multiply
    101,776.64x = 140,446.80 × 56,456.40
  4. Step 4: Simplify right side
    101,776.64x = 7,929,120,719.52
  5. Step 5: Solve for x
    x = 7,929,120,719.52/101,776.64
  6. Step 6: Final answer
    x = 77,907.08

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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.