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Finding the Fourth Proportional to 134,547, 185,674.92 and 77,991.18

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Solution

The fourth proportional to 134,547, 185,674.92 and 77,991.18 is: 107,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,547 : 185,674.92 = 77,991.18 : x
  2. Step 2: Convert to fraction form
    134,547/185,674.92 = 77,991.18/x
  3. Step 3: Cross multiply
    134,547x = 185,674.92 × 77,991.18
  4. Step 4: Simplify right side
    134,547x = 14,481,006,107.21
  5. Step 5: Solve for x
    x = 14,481,006,107.21/134,547
  6. Step 6: Final answer
    x = 107,627.86

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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.