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Finding the Fourth Proportional to 145,235.80, 217,915.74 and 70,411.24

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Solution

The fourth proportional to 145,235.80, 217,915.74 and 70,411.24 is: 105,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,235.80 : 217,915.74 = 70,411.24 : x
  2. Step 2: Convert to fraction form
    145,235.80/217,915.74 = 70,411.24/x
  3. Step 3: Cross multiply
    145,235.80x = 217,915.74 × 70,411.24
  4. Step 4: Simplify right side
    145,235.80x = 15,343,717,468.92
  5. Step 5: Solve for x
    x = 15,343,717,468.92/145,235.80
  6. Step 6: Final answer
    x = 105,646.94

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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.