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Finding the Fourth Proportional to 153,690, 212,267.16 and 103,301.52

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Solution

The fourth proportional to 153,690, 212,267.16 and 103,301.52 is: 142,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,690 : 212,267.16 = 103,301.52 : x
  2. Step 2: Convert to fraction form
    153,690/212,267.16 = 103,301.52/x
  3. Step 3: Cross multiply
    153,690x = 212,267.16 × 103,301.52
  4. Step 4: Simplify right side
    153,690x = 21,927,520,274.08
  5. Step 5: Solve for x
    x = 21,927,520,274.08/153,690
  6. Step 6: Final answer
    x = 142,673.70

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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.