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Finding the Fourth Proportional to 145,741.68, 218,423.16 and 65,720.88

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Solution

The fourth proportional to 145,741.68, 218,423.16 and 65,720.88 is: 98,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,741.68 : 218,423.16 = 65,720.88 : x
  2. Step 2: Convert to fraction form
    145,741.68/218,423.16 = 65,720.88/x
  3. Step 3: Cross multiply
    145,741.68x = 218,423.16 × 65,720.88
  4. Step 4: Simplify right side
    145,741.68x = 14,354,962,287.58
  5. Step 5: Solve for x
    x = 14,354,962,287.58/145,741.68
  6. Step 6: Final answer
    x = 98,495.93

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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.