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Finding the Fourth Proportional to 105,229.79, 145,264.89 and 67,041.70

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Solution

The fourth proportional to 105,229.79, 145,264.89 and 67,041.70 is: 92,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,229.79 : 145,264.89 = 67,041.70 : x
  2. Step 2: Convert to fraction form
    105,229.79/145,264.89 = 67,041.70/x
  3. Step 3: Cross multiply
    105,229.79x = 145,264.89 × 67,041.70
  4. Step 4: Simplify right side
    105,229.79x = 9,738,805,064.16
  5. Step 5: Solve for x
    x = 9,738,805,064.16/105,229.79
  6. Step 6: Final answer
    x = 92,547.99

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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.