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Finding the Fourth Proportional to 162,419.56, 243,643 and 59,864.75

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Solution

The fourth proportional to 162,419.56, 243,643 and 59,864.75 is: 89,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,419.56 : 243,643 = 59,864.75 : x
  2. Step 2: Convert to fraction form
    162,419.56/243,643 = 59,864.75/x
  3. Step 3: Cross multiply
    162,419.56x = 243,643 × 59,864.75
  4. Step 4: Simplify right side
    162,419.56x = 14,585,627,284.25
  5. Step 5: Solve for x
    x = 14,585,627,284.25/162,419.56
  6. Step 6: Final answer
    x = 89,802.16

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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.