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Finding the Fourth Proportional to 89,312.96, 133,972.68 and 26,984

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Solution

The fourth proportional to 89,312.96, 133,972.68 and 26,984 is: 40,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,312.96 : 133,972.68 = 26,984 : x
  2. Step 2: Convert to fraction form
    89,312.96/133,972.68 = 26,984/x
  3. Step 3: Cross multiply
    89,312.96x = 133,972.68 × 26,984
  4. Step 4: Simplify right side
    89,312.96x = 3,615,118,797.12
  5. Step 5: Solve for x
    x = 3,615,118,797.12/89,312.96
  6. Step 6: Final answer
    x = 40,476.98

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1.5x scale

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.