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Finding the Fourth Proportional to 90,465.40, 135,673.80 and 31,319.20

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Solution

The fourth proportional to 90,465.40, 135,673.80 and 31,319.20 is: 46,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,465.40 : 135,673.80 = 31,319.20 : x
  2. Step 2: Convert to fraction form
    90,465.40/135,673.80 = 31,319.20/x
  3. Step 3: Cross multiply
    90,465.40x = 135,673.80 × 31,319.20
  4. Step 4: Simplify right side
    90,465.40x = 4,249,194,876.96
  5. Step 5: Solve for x
    x = 4,249,194,876.96/90,465.40
  6. Step 6: Final answer
    x = 46,970.39

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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.