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Finding the Fourth Proportional to 103,267.84, 142,451.76 and 65,013.16

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Solution

The fourth proportional to 103,267.84, 142,451.76 and 65,013.16 is: 89,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,267.84 : 142,451.76 = 65,013.16 : x
  2. Step 2: Convert to fraction form
    103,267.84/142,451.76 = 65,013.16/x
  3. Step 3: Cross multiply
    103,267.84x = 142,451.76 × 65,013.16
  4. Step 4: Simplify right side
    103,267.84x = 9,261,239,065.16
  5. Step 5: Solve for x
    x = 9,261,239,065.16/103,267.84
  6. Step 6: Final answer
    x = 89,681.74

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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.