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Finding the Fourth Proportional to 153,909, 212,482.76 and 117,323.28

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Solution

The fourth proportional to 153,909, 212,482.76 and 117,323.28 is: 161,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,909 : 212,482.76 = 117,323.28 : x
  2. Step 2: Convert to fraction form
    153,909/212,482.76 = 117,323.28/x
  3. Step 3: Cross multiply
    153,909x = 212,482.76 × 117,323.28
  4. Step 4: Simplify right side
    153,909x = 24,929,174,346.65
  5. Step 5: Solve for x
    x = 24,929,174,346.65/153,909
  6. Step 6: Final answer
    x = 161,973.47

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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.