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Finding the Fourth Proportional to 105,737.40, 158,567.70 and 53,129.40

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Solution

The fourth proportional to 105,737.40, 158,567.70 and 53,129.40 is: 79,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,737.40 : 158,567.70 = 53,129.40 : x
  2. Step 2: Convert to fraction form
    105,737.40/158,567.70 = 53,129.40/x
  3. Step 3: Cross multiply
    105,737.40x = 158,567.70 × 53,129.40
  4. Step 4: Simplify right side
    105,737.40x = 8,424,606,760.38
  5. Step 5: Solve for x
    x = 8,424,606,760.38/105,737.40
  6. Step 6: Final answer
    x = 79,674.81

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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.