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Finding the Fourth Proportional to 102,643.79, 153,943.68 and 59,920.76

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Solution

The fourth proportional to 102,643.79, 153,943.68 and 59,920.76 is: 89,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,643.79 : 153,943.68 = 59,920.76 : x
  2. Step 2: Convert to fraction form
    102,643.79/153,943.68 = 59,920.76/x
  3. Step 3: Cross multiply
    102,643.79x = 153,943.68 × 59,920.76
  4. Step 4: Simplify right side
    102,643.79x = 9,224,422,302.80
  5. Step 5: Solve for x
    x = 9,224,422,302.80/102,643.79
  6. Step 6: Final answer
    x = 89,868.29

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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.