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Finding the Fourth Proportional to 102,149.90, 140,967.94 and 56,210.14

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Solution

The fourth proportional to 102,149.90, 140,967.94 and 56,210.14 is: 77,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,149.90 : 140,967.94 = 56,210.14 : x
  2. Step 2: Convert to fraction form
    102,149.90/140,967.94 = 56,210.14/x
  3. Step 3: Cross multiply
    102,149.90x = 140,967.94 × 56,210.14
  4. Step 4: Simplify right side
    102,149.90x = 7,923,827,642.91
  5. Step 5: Solve for x
    x = 7,923,827,642.91/102,149.90
  6. Step 6: Final answer
    x = 77,570.59

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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.