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Finding the Fourth Proportional to 52,089.81, 78,136.88 and 15,153.81

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Solution

The fourth proportional to 52,089.81, 78,136.88 and 15,153.81 is: 22,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,089.81 : 78,136.88 = 15,153.81 : x
  2. Step 2: Convert to fraction form
    52,089.81/78,136.88 = 15,153.81/x
  3. Step 3: Cross multiply
    52,089.81x = 78,136.88 × 15,153.81
  4. Step 4: Simplify right side
    52,089.81x = 1,184,071,433.51
  5. Step 5: Solve for x
    x = 1,184,071,433.51/52,089.81
  6. Step 6: Final answer
    x = 22,731.34

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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.