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Finding the Fourth Proportional to 145,406.40, 218,122.02 and 40,225.20

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Solution

The fourth proportional to 145,406.40, 218,122.02 and 40,225.20 is: 60,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,406.40 : 218,122.02 = 40,225.20 : x
  2. Step 2: Convert to fraction form
    145,406.40/218,122.02 = 40,225.20/x
  3. Step 3: Cross multiply
    145,406.40x = 218,122.02 × 40,225.20
  4. Step 4: Simplify right side
    145,406.40x = 8,774,001,878.90
  5. Step 5: Solve for x
    x = 8,774,001,878.90/145,406.40
  6. Step 6: Final answer
    x = 60,341.24

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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.