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Finding the Fourth Proportional to 77,693.14, 107,215.14 and 45,430.84

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Solution

The fourth proportional to 77,693.14, 107,215.14 and 45,430.84 is: 62,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,693.14 : 107,215.14 = 45,430.84 : x
  2. Step 2: Convert to fraction form
    77,693.14/107,215.14 = 45,430.84/x
  3. Step 3: Cross multiply
    77,693.14x = 107,215.14 × 45,430.84
  4. Step 4: Simplify right side
    77,693.14x = 4,870,873,870.92
  5. Step 5: Solve for x
    x = 4,870,873,870.92/77,693.14
  6. Step 6: Final answer
    x = 62,693.74

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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.