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Finding the Fourth Proportional to 102,064.60, 140,849.69 and 56,127.20

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Solution

The fourth proportional to 102,064.60, 140,849.69 and 56,127.20 is: 77,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,064.60 : 140,849.69 = 56,127.20 : x
  2. Step 2: Convert to fraction form
    102,064.60/140,849.69 = 56,127.20/x
  3. Step 3: Cross multiply
    102,064.60x = 140,849.69 × 56,127.20
  4. Step 4: Simplify right side
    102,064.60x = 7,905,498,720.57
  5. Step 5: Solve for x
    x = 7,905,498,720.57/102,064.60
  6. Step 6: Final answer
    x = 77,455.84

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1.5x scale

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.