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Finding the Fourth Proportional to 90,730, 136,095 and 35,364.88

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Solution

The fourth proportional to 90,730, 136,095 and 35,364.88 is: 53,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,730 : 136,095 = 35,364.88 : x
  2. Step 2: Convert to fraction form
    90,730/136,095 = 35,364.88/x
  3. Step 3: Cross multiply
    90,730x = 136,095 × 35,364.88
  4. Step 4: Simplify right side
    90,730x = 4,812,983,343.60
  5. Step 5: Solve for x
    x = 4,812,983,343.60/90,730
  6. Step 6: Final answer
    x = 53,047.32

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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.