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Finding the Fourth Proportional to 209,702.59, 314,530.34 and 57,921.24

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Solution

The fourth proportional to 209,702.59, 314,530.34 and 57,921.24 is: 86,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,702.59 : 314,530.34 = 57,921.24 : x
  2. Step 2: Convert to fraction form
    209,702.59/314,530.34 = 57,921.24/x
  3. Step 3: Cross multiply
    209,702.59x = 314,530.34 × 57,921.24
  4. Step 4: Simplify right side
    209,702.59x = 18,217,988,526.11
  5. Step 5: Solve for x
    x = 18,217,988,526.11/209,702.59
  6. Step 6: Final answer
    x = 86,875.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.