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Finding the Fourth Proportional to 77,155.83, 106,471.35 and 48,490.35

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Solution

The fourth proportional to 77,155.83, 106,471.35 and 48,490.35 is: 66,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,155.83 : 106,471.35 = 48,490.35 : x
  2. Step 2: Convert to fraction form
    77,155.83/106,471.35 = 48,490.35/x
  3. Step 3: Cross multiply
    77,155.83x = 106,471.35 × 48,490.35
  4. Step 4: Simplify right side
    77,155.83x = 5,162,833,026.47
  5. Step 5: Solve for x
    x = 5,162,833,026.47/77,155.83
  6. Step 6: Final answer
    x = 66,914.36

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1.5x scale

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.