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Finding the Fourth Proportional to 151,507.60, 209,071.08 and 83,521.06

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Solution

The fourth proportional to 151,507.60, 209,071.08 and 83,521.06 is: 115,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,507.60 : 209,071.08 = 83,521.06 : x
  2. Step 2: Convert to fraction form
    151,507.60/209,071.08 = 83,521.06/x
  3. Step 3: Cross multiply
    151,507.60x = 209,071.08 × 83,521.06
  4. Step 4: Simplify right side
    151,507.60x = 17,461,838,216.94
  5. Step 5: Solve for x
    x = 17,461,838,216.94/151,507.60
  6. Step 6: Final answer
    x = 115,253.88

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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.