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Finding the Fourth Proportional to 86,689.36, 130,038.90 and 24,355

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Solution

The fourth proportional to 86,689.36, 130,038.90 and 24,355 is: 36,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,689.36 : 130,038.90 = 24,355 : x
  2. Step 2: Convert to fraction form
    86,689.36/130,038.90 = 24,355/x
  3. Step 3: Cross multiply
    86,689.36x = 130,038.90 × 24,355
  4. Step 4: Simplify right side
    86,689.36x = 3,167,097,409.50
  5. Step 5: Solve for x
    x = 3,167,097,409.50/86,689.36
  6. Step 6: Final answer
    x = 36,533.87

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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.