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Finding the Fourth Proportional to 105,424.98, 145,436.22 and 65,124.24

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Solution

The fourth proportional to 105,424.98, 145,436.22 and 65,124.24 is: 89,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424.98 : 145,436.22 = 65,124.24 : x
  2. Step 2: Convert to fraction form
    105,424.98/145,436.22 = 65,124.24/x
  3. Step 3: Cross multiply
    105,424.98x = 145,436.22 × 65,124.24
  4. Step 4: Simplify right side
    105,424.98x = 9,471,423,295.97
  5. Step 5: Solve for x
    x = 9,471,423,295.97/105,424.98
  6. Step 6: Final answer
    x = 89,840.41

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1.5x scale

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.