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Finding the Fourth Proportional to 242,655.86, 334,890.13 and 145,891.36

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Solution

The fourth proportional to 242,655.86, 334,890.13 and 145,891.36 is: 201,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,655.86 : 334,890.13 = 145,891.36 : x
  2. Step 2: Convert to fraction form
    242,655.86/334,890.13 = 145,891.36/x
  3. Step 3: Cross multiply
    242,655.86x = 334,890.13 × 145,891.36
  4. Step 4: Simplify right side
    242,655.86x = 48,857,576,889.17
  5. Step 5: Solve for x
    x = 48,857,576,889.17/242,655.86
  6. Step 6: Final answer
    x = 201,345.13

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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.