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Finding the Fourth Proportional to 145,741.70, 218,612.55 and 52,256.90

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Solution

The fourth proportional to 145,741.70, 218,612.55 and 52,256.90 is: 78,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,741.70 : 218,612.55 = 52,256.90 : x
  2. Step 2: Convert to fraction form
    145,741.70/218,612.55 = 52,256.90/x
  3. Step 3: Cross multiply
    145,741.70x = 218,612.55 × 52,256.90
  4. Step 4: Simplify right side
    145,741.70x = 11,424,014,164.10
  5. Step 5: Solve for x
    x = 11,424,014,164.10/145,741.70
  6. Step 6: Final answer
    x = 78,385.35

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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.