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Finding the Fourth Proportional to 101,547.20, 140,137.92 and 56,835.20

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Solution

The fourth proportional to 101,547.20, 140,137.92 and 56,835.20 is: 78,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,547.20 : 140,137.92 = 56,835.20 : x
  2. Step 2: Convert to fraction form
    101,547.20/140,137.92 = 56,835.20/x
  3. Step 3: Cross multiply
    101,547.20x = 140,137.92 × 56,835.20
  4. Step 4: Simplify right side
    101,547.20x = 7,964,766,710.78
  5. Step 5: Solve for x
    x = 7,964,766,710.78/101,547.20
  6. Step 6: Final answer
    x = 78,434.13

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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.