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Finding the Fourth Proportional to 77,898.34, 107,499.75 and 42,088.34

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Solution

The fourth proportional to 77,898.34, 107,499.75 and 42,088.34 is: 58,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,898.34 : 107,499.75 = 42,088.34 : x
  2. Step 2: Convert to fraction form
    77,898.34/107,499.75 = 42,088.34/x
  3. Step 3: Cross multiply
    77,898.34x = 107,499.75 × 42,088.34
  4. Step 4: Simplify right side
    77,898.34x = 4,524,486,027.92
  5. Step 5: Solve for x
    x = 4,524,486,027.92/77,898.34
  6. Step 6: Final answer
    x = 58,081.93

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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.