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Finding the Fourth Proportional to 145,605, 218,408.72 and 40,432.16

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Solution

The fourth proportional to 145,605, 218,408.72 and 40,432.16 is: 60,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,605 : 218,408.72 = 40,432.16 : x
  2. Step 2: Convert to fraction form
    145,605/218,408.72 = 40,432.16/x
  3. Step 3: Cross multiply
    145,605x = 218,408.72 × 40,432.16
  4. Step 4: Simplify right side
    145,605x = 8,830,736,312.44
  5. Step 5: Solve for x
    x = 8,830,736,312.44/145,605
  6. Step 6: Final answer
    x = 60,648.58

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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.