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Finding the Fourth Proportional to 86,817, 130,225.38 and 57,019.32

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Solution

The fourth proportional to 86,817, 130,225.38 and 57,019.32 is: 85,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,817 : 130,225.38 = 57,019.32 : x
  2. Step 2: Convert to fraction form
    86,817/130,225.38 = 57,019.32/x
  3. Step 3: Cross multiply
    86,817x = 130,225.38 × 57,019.32
  4. Step 4: Simplify right side
    86,817x = 7,425,362,614.34
  5. Step 5: Solve for x
    x = 7,425,362,614.34/86,817
  6. Step 6: Final answer
    x = 85,528.90

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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.