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Finding the Fourth Proportional to 77,476.50, 106,917.57 and 42,148.50

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Solution

The fourth proportional to 77,476.50, 106,917.57 and 42,148.50 is: 58,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,476.50 : 106,917.57 = 42,148.50 : x
  2. Step 2: Convert to fraction form
    77,476.50/106,917.57 = 42,148.50/x
  3. Step 3: Cross multiply
    77,476.50x = 106,917.57 × 42,148.50
  4. Step 4: Simplify right side
    77,476.50x = 4,506,415,199.15
  5. Step 5: Solve for x
    x = 4,506,415,199.15/77,476.50
  6. Step 6: Final answer
    x = 58,164.93

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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.