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Finding the Fourth Proportional to 242,705.93, 334,935.74 and 135,282.78

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Solution

The fourth proportional to 242,705.93, 334,935.74 and 135,282.78 is: 186,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,705.93 : 334,935.74 = 135,282.78 : x
  2. Step 2: Convert to fraction form
    242,705.93/334,935.74 = 135,282.78/x
  3. Step 3: Cross multiply
    242,705.93x = 334,935.74 × 135,282.78
  4. Step 4: Simplify right side
    242,705.93x = 45,311,038,366.76
  5. Step 5: Solve for x
    x = 45,311,038,366.76/242,705.93
  6. Step 6: Final answer
    x = 186,691.11

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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.