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Finding the Fourth Proportional to 145,261.65, 217,808.61 and 56,411.43

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Solution

The fourth proportional to 145,261.65, 217,808.61 and 56,411.43 is: 84,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,261.65 : 217,808.61 = 56,411.43 : x
  2. Step 2: Convert to fraction form
    145,261.65/217,808.61 = 56,411.43/x
  3. Step 3: Cross multiply
    145,261.65x = 217,808.61 × 56,411.43
  4. Step 4: Simplify right side
    145,261.65x = 12,286,895,156.41
  5. Step 5: Solve for x
    x = 12,286,895,156.41/145,261.65
  6. Step 6: Final answer
    x = 84,584.58

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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.