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Finding the Fourth Proportional to 105,079.40, 157,482.30 and 42,677

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Solution

The fourth proportional to 105,079.40, 157,482.30 and 42,677 is: 63,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,079.40 : 157,482.30 = 42,677 : x
  2. Step 2: Convert to fraction form
    105,079.40/157,482.30 = 42,677/x
  3. Step 3: Cross multiply
    105,079.40x = 157,482.30 × 42,677
  4. Step 4: Simplify right side
    105,079.40x = 6,720,872,117.10
  5. Step 5: Solve for x
    x = 6,720,872,117.10/105,079.40
  6. Step 6: Final answer
    x = 63,959.94

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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.