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Finding the Fourth Proportional to 144,459.64, 216,547.30 and 84,411.91

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Solution

The fourth proportional to 144,459.64, 216,547.30 and 84,411.91 is: 126,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,459.64 : 216,547.30 = 84,411.91 : x
  2. Step 2: Convert to fraction form
    144,459.64/216,547.30 = 84,411.91/x
  3. Step 3: Cross multiply
    144,459.64x = 216,547.30 × 84,411.91
  4. Step 4: Simplify right side
    144,459.64x = 18,279,171,198.34
  5. Step 5: Solve for x
    x = 18,279,171,198.34/144,459.64
  6. Step 6: Final answer
    x = 126,534.80

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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.