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Finding the Fourth Proportional to 202,402.60, 303,603.90 and 142,041.40

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Solution

The fourth proportional to 202,402.60, 303,603.90 and 142,041.40 is: 213,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,402.60 : 303,603.90 = 142,041.40 : x
  2. Step 2: Convert to fraction form
    202,402.60/303,603.90 = 142,041.40/x
  3. Step 3: Cross multiply
    202,402.60x = 303,603.90 × 142,041.40
  4. Step 4: Simplify right side
    202,402.60x = 43,124,323,001.46
  5. Step 5: Solve for x
    x = 43,124,323,001.46/202,402.60
  6. Step 6: Final answer
    x = 213,062.10

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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.