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Finding the Fourth Proportional to 99,357.66, 149,036.49 and 57,775.50

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Solution

The fourth proportional to 99,357.66, 149,036.49 and 57,775.50 is: 86,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,357.66 : 149,036.49 = 57,775.50 : x
  2. Step 2: Convert to fraction form
    99,357.66/149,036.49 = 57,775.50/x
  3. Step 3: Cross multiply
    99,357.66x = 149,036.49 × 57,775.50
  4. Step 4: Simplify right side
    99,357.66x = 8,610,657,728.00
  5. Step 5: Solve for x
    x = 8,610,657,728.00/99,357.66
  6. Step 6: Final answer
    x = 86,663.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.