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Finding the Fourth Proportional to 145,152.34, 217,742.20 and 56,412.66

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Solution

The fourth proportional to 145,152.34, 217,742.20 and 56,412.66 is: 84,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,152.34 : 217,742.20 = 56,412.66 : x
  2. Step 2: Convert to fraction form
    145,152.34/217,742.20 = 56,412.66/x
  3. Step 3: Cross multiply
    145,152.34x = 217,742.20 × 56,412.66
  4. Step 4: Simplify right side
    145,152.34x = 12,283,416,696.25
  5. Step 5: Solve for x
    x = 12,283,416,696.25/145,152.34
  6. Step 6: Final answer
    x = 84,624.31

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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.