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Finding the Fourth Proportional to 99,097.87, 148,669.51 and 42,947.40

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Solution

The fourth proportional to 99,097.87, 148,669.51 and 42,947.40 is: 64,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,097.87 : 148,669.51 = 42,947.40 : x
  2. Step 2: Convert to fraction form
    99,097.87/148,669.51 = 42,947.40/x
  3. Step 3: Cross multiply
    99,097.87x = 148,669.51 × 42,947.40
  4. Step 4: Simplify right side
    99,097.87x = 6,384,968,913.77
  5. Step 5: Solve for x
    x = 6,384,968,913.77/99,097.87
  6. Step 6: Final answer
    x = 64,430.94

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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.