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Finding the Fourth Proportional to 142,737.84, 214,107.12 and 42,908.40

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Solution

The fourth proportional to 142,737.84, 214,107.12 and 42,908.40 is: 64,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,737.84 : 214,107.12 = 42,908.40 : x
  2. Step 2: Convert to fraction form
    142,737.84/214,107.12 = 42,908.40/x
  3. Step 3: Cross multiply
    142,737.84x = 214,107.12 × 42,908.40
  4. Step 4: Simplify right side
    142,737.84x = 9,186,993,947.81
  5. Step 5: Solve for x
    x = 9,186,993,947.81/142,737.84
  6. Step 6: Final answer
    x = 64,362.71

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1.5x scale

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.