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Finding the Fourth Proportional to 142,410, 213,563.93 and 42,551.58

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Solution

The fourth proportional to 142,410, 213,563.93 and 42,551.58 is: 63,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,410 : 213,563.93 = 42,551.58 : x
  2. Step 2: Convert to fraction form
    142,410/213,563.93 = 42,551.58/x
  3. Step 3: Cross multiply
    142,410x = 213,563.93 × 42,551.58
  4. Step 4: Simplify right side
    142,410x = 9,087,482,439.75
  5. Step 5: Solve for x
    x = 9,087,482,439.75/142,410
  6. Step 6: Final answer
    x = 63,812.11

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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.