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Finding the Fourth Proportional to 52,128.98, 78,187.98 and 14,688.08

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Solution

The fourth proportional to 52,128.98, 78,187.98 and 14,688.08 is: 22,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,128.98 : 78,187.98 = 14,688.08 : x
  2. Step 2: Convert to fraction form
    52,128.98/78,187.98 = 14,688.08/x
  3. Step 3: Cross multiply
    52,128.98x = 78,187.98 × 14,688.08
  4. Step 4: Simplify right side
    52,128.98x = 1,148,431,305.28
  5. Step 5: Solve for x
    x = 1,148,431,305.28/52,128.98
  6. Step 6: Final answer
    x = 22,030.57

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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.