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Finding the Fourth Proportional to 105,345.40, 157,634.10 and 77,697.40

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Solution

The fourth proportional to 105,345.40, 157,634.10 and 77,697.40 is: 116,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,345.40 : 157,634.10 = 77,697.40 : x
  2. Step 2: Convert to fraction form
    105,345.40/157,634.10 = 77,697.40/x
  3. Step 3: Cross multiply
    105,345.40x = 157,634.10 × 77,697.40
  4. Step 4: Simplify right side
    105,345.40x = 12,247,759,721.34
  5. Step 5: Solve for x
    x = 12,247,759,721.34/105,345.40
  6. Step 6: Final answer
    x = 116,262.88

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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.