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Finding the Fourth Proportional to 91,281.96, 136,931.58 and 35,865

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Solution

The fourth proportional to 91,281.96, 136,931.58 and 35,865 is: 53,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,281.96 : 136,931.58 = 35,865 : x
  2. Step 2: Convert to fraction form
    91,281.96/136,931.58 = 35,865/x
  3. Step 3: Cross multiply
    91,281.96x = 136,931.58 × 35,865
  4. Step 4: Simplify right side
    91,281.96x = 4,911,051,116.70
  5. Step 5: Solve for x
    x = 4,911,051,116.70/91,281.96
  6. Step 6: Final answer
    x = 53,800.89

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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.