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Finding the Fourth Proportional to 86,692, 130,038 and 24,362.50

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Solution

The fourth proportional to 86,692, 130,038 and 24,362.50 is: 36,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,692 : 130,038 = 24,362.50 : x
  2. Step 2: Convert to fraction form
    86,692/130,038 = 24,362.50/x
  3. Step 3: Cross multiply
    86,692x = 130,038 × 24,362.50
  4. Step 4: Simplify right side
    86,692x = 3,168,050,775
  5. Step 5: Solve for x
    x = 3,168,050,775/86,692
  6. Step 6: Final answer
    x = 36,543.75

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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.