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Finding the Fourth Proportional to 153,984.75, 212,498.96 and 83,328.75

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Solution

The fourth proportional to 153,984.75, 212,498.96 and 83,328.75 is: 114,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,984.75 : 212,498.96 = 83,328.75 : x
  2. Step 2: Convert to fraction form
    153,984.75/212,498.96 = 83,328.75/x
  3. Step 3: Cross multiply
    153,984.75x = 212,498.96 × 83,328.75
  4. Step 4: Simplify right side
    153,984.75x = 17,707,272,296.46
  5. Step 5: Solve for x
    x = 17,707,272,296.46/153,984.75
  6. Step 6: Final answer
    x = 114,993.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.