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Finding the Fourth Proportional to 281,141.64, 387,985.15 and 153,817.23

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Solution

The fourth proportional to 281,141.64, 387,985.15 and 153,817.23 is: 212,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,141.64 : 387,985.15 = 153,817.23 : x
  2. Step 2: Convert to fraction form
    281,141.64/387,985.15 = 153,817.23/x
  3. Step 3: Cross multiply
    281,141.64x = 387,985.15 × 153,817.23
  4. Step 4: Simplify right side
    281,141.64x = 59,678,801,054.13
  5. Step 5: Solve for x
    x = 59,678,801,054.13/281,141.64
  6. Step 6: Final answer
    x = 212,273.08

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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.