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Finding the Fourth Proportional to 145,337.34, 218,006.10 and 45,506.10

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Solution

The fourth proportional to 145,337.34, 218,006.10 and 45,506.10 is: 68,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,337.34 : 218,006.10 = 45,506.10 : x
  2. Step 2: Convert to fraction form
    145,337.34/218,006.10 = 45,506.10/x
  3. Step 3: Cross multiply
    145,337.34x = 218,006.10 × 45,506.10
  4. Step 4: Simplify right side
    145,337.34x = 9,920,607,387.21
  5. Step 5: Solve for x
    x = 9,920,607,387.21/145,337.34
  6. Step 6: Final answer
    x = 68,259.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.