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Finding the Fourth Proportional to 242,459.96, 334,605.13 and 135,030

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Solution

The fourth proportional to 242,459.96, 334,605.13 and 135,030 is: 186,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,459.96 : 334,605.13 = 135,030 : x
  2. Step 2: Convert to fraction form
    242,459.96/334,605.13 = 135,030/x
  3. Step 3: Cross multiply
    242,459.96x = 334,605.13 × 135,030
  4. Step 4: Simplify right side
    242,459.96x = 45,181,730,366.33
  5. Step 5: Solve for x
    x = 45,181,730,366.33/242,459.96
  6. Step 6: Final answer
    x = 186,347.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.