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Finding the Fourth Proportional to 213,470.16, 320,032.44 and 88,904.40

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Solution

The fourth proportional to 213,470.16, 320,032.44 and 88,904.40 is: 133,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,470.16 : 320,032.44 = 88,904.40 : x
  2. Step 2: Convert to fraction form
    213,470.16/320,032.44 = 88,904.40/x
  3. Step 3: Cross multiply
    213,470.16x = 320,032.44 × 88,904.40
  4. Step 4: Simplify right side
    213,470.16x = 28,452,292,058.74
  5. Step 5: Solve for x
    x = 28,452,292,058.74/213,470.16
  6. Step 6: Final answer
    x = 133,284.63

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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.