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Finding the Fourth Proportional to 242,718.48, 334,963 and 135,289.28

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Solution

The fourth proportional to 242,718.48, 334,963 and 135,289.28 is: 186,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,718.48 : 334,963 = 135,289.28 : x
  2. Step 2: Convert to fraction form
    242,718.48/334,963 = 135,289.28/x
  3. Step 3: Cross multiply
    242,718.48x = 334,963 × 135,289.28
  4. Step 4: Simplify right side
    242,718.48x = 45,316,903,096.64
  5. Step 5: Solve for x
    x = 45,316,903,096.64/242,718.48
  6. Step 6: Final answer
    x = 186,705.62

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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.