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Finding the Fourth Proportional to 145,854, 218,817.90 and 40,672.98

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Solution

The fourth proportional to 145,854, 218,817.90 and 40,672.98 is: 61,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854 : 218,817.90 = 40,672.98 : x
  2. Step 2: Convert to fraction form
    145,854/218,817.90 = 40,672.98/x
  3. Step 3: Cross multiply
    145,854x = 218,817.90 × 40,672.98
  4. Step 4: Simplify right side
    145,854x = 8,899,976,070.34
  5. Step 5: Solve for x
    x = 8,899,976,070.34/145,854
  6. Step 6: Final answer
    x = 61,019.76

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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.