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Finding the Fourth Proportional to 90,466.40, 135,715.80 and 37,881.20

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Solution

The fourth proportional to 90,466.40, 135,715.80 and 37,881.20 is: 56,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,466.40 : 135,715.80 = 37,881.20 : x
  2. Step 2: Convert to fraction form
    90,466.40/135,715.80 = 37,881.20/x
  3. Step 3: Cross multiply
    90,466.40x = 135,715.80 × 37,881.20
  4. Step 4: Simplify right side
    90,466.40x = 5,141,077,362.96
  5. Step 5: Solve for x
    x = 5,141,077,362.96/90,466.40
  6. Step 6: Final answer
    x = 56,828.58

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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.