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Finding the Fourth Proportional to 145,312.96, 217,851.80 and 45,421.72

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Solution

The fourth proportional to 145,312.96, 217,851.80 and 45,421.72 is: 68,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,312.96 : 217,851.80 = 45,421.72 : x
  2. Step 2: Convert to fraction form
    145,312.96/217,851.80 = 45,421.72/x
  3. Step 3: Cross multiply
    145,312.96x = 217,851.80 × 45,421.72
  4. Step 4: Simplify right side
    145,312.96x = 9,895,203,461.10
  5. Step 5: Solve for x
    x = 9,895,203,461.10/145,312.96
  6. Step 6: Final answer
    x = 68,095.81

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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.