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Finding the Fourth Proportional to 145,492.88, 218,215.02 and 40,322.48

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Solution

The fourth proportional to 145,492.88, 218,215.02 and 40,322.48 is: 60,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,492.88 : 218,215.02 = 40,322.48 : x
  2. Step 2: Convert to fraction form
    145,492.88/218,215.02 = 40,322.48/x
  3. Step 3: Cross multiply
    145,492.88x = 218,215.02 × 40,322.48
  4. Step 4: Simplify right side
    145,492.88x = 8,798,970,779.65
  5. Step 5: Solve for x
    x = 8,798,970,779.65/145,492.88
  6. Step 6: Final answer
    x = 60,476.99

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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.