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Finding the Fourth Proportional to 105,409.34, 145,472.78 and 60,088.40

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Solution

The fourth proportional to 105,409.34, 145,472.78 and 60,088.40 is: 82,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,409.34 : 145,472.78 = 60,088.40 : x
  2. Step 2: Convert to fraction form
    105,409.34/145,472.78 = 60,088.40/x
  3. Step 3: Cross multiply
    105,409.34x = 145,472.78 × 60,088.40
  4. Step 4: Simplify right side
    105,409.34x = 8,741,225,565.95
  5. Step 5: Solve for x
    x = 8,741,225,565.95/105,409.34
  6. Step 6: Final answer
    x = 82,926.48

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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.