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Finding the Fourth Proportional to 102,015.40, 142,938.20 and 102,015.40

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Solution

The fourth proportional to 102,015.40, 142,938.20 and 102,015.40 is: 142,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,015.40 : 142,938.20 = 102,015.40 : x
  2. Step 2: Convert to fraction form
    102,015.40/142,938.20 = 102,015.40/x
  3. Step 3: Cross multiply
    102,015.40x = 142,938.20 × 102,015.40
  4. Step 4: Simplify right side
    102,015.40x = 14,581,897,648.28
  5. Step 5: Solve for x
    x = 14,581,897,648.28/102,015.40
  6. Step 6: Final answer
    x = 142,938.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.