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Finding the Fourth Proportional to 145,147.34, 217,734.74 and 56,407.68

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Solution

The fourth proportional to 145,147.34, 217,734.74 and 56,407.68 is: 84,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,147.34 : 217,734.74 = 56,407.68 : x
  2. Step 2: Convert to fraction form
    145,147.34/217,734.74 = 56,407.68/x
  3. Step 3: Cross multiply
    145,147.34x = 217,734.74 × 56,407.68
  4. Step 4: Simplify right side
    145,147.34x = 12,281,911,256.76
  5. Step 5: Solve for x
    x = 12,281,911,256.76/145,147.34
  6. Step 6: Final answer
    x = 84,616.86

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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.