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Finding the Fourth Proportional to 242,864.16, 364,326.76 and 130,389.78

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Solution

The fourth proportional to 242,864.16, 364,326.76 and 130,389.78 is: 195,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,864.16 : 364,326.76 = 130,389.78 : x
  2. Step 2: Convert to fraction form
    242,864.16/364,326.76 = 130,389.78/x
  3. Step 3: Cross multiply
    242,864.16x = 364,326.76 × 130,389.78
  4. Step 4: Simplify right side
    242,864.16x = 47,504,486,084.51
  5. Step 5: Solve for x
    x = 47,504,486,084.51/242,864.16
  6. Step 6: Final answer
    x = 195,601.06

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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.