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Finding the Fourth Proportional to 77,804.16, 107,337.84 and 45,076.80

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Solution

The fourth proportional to 77,804.16, 107,337.84 and 45,076.80 is: 62,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,804.16 : 107,337.84 = 45,076.80 : x
  2. Step 2: Convert to fraction form
    77,804.16/107,337.84 = 45,076.80/x
  3. Step 3: Cross multiply
    77,804.16x = 107,337.84 × 45,076.80
  4. Step 4: Simplify right side
    77,804.16x = 4,838,446,346.11
  5. Step 5: Solve for x
    x = 4,838,446,346.11/77,804.16
  6. Step 6: Final answer
    x = 62,187.50

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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.