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Finding the Fourth Proportional to 145,821.70, 218,612.55 and 65,864.90

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Solution

The fourth proportional to 145,821.70, 218,612.55 and 65,864.90 is: 98,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,821.70 : 218,612.55 = 65,864.90 : x
  2. Step 2: Convert to fraction form
    145,821.70/218,612.55 = 65,864.90/x
  3. Step 3: Cross multiply
    145,821.70x = 218,612.55 × 65,864.90
  4. Step 4: Simplify right side
    145,821.70x = 14,398,893,744.50
  5. Step 5: Solve for x
    x = 14,398,893,744.50/145,821.70
  6. Step 6: Final answer
    x = 98,743.15

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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.