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Finding the Fourth Proportional to 157,842.40, 236,763.60 and 47,020

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Solution

The fourth proportional to 157,842.40, 236,763.60 and 47,020 is: 70,530

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,842.40 : 236,763.60 = 47,020 : x
  2. Step 2: Convert to fraction form
    157,842.40/236,763.60 = 47,020/x
  3. Step 3: Cross multiply
    157,842.40x = 236,763.60 × 47,020
  4. Step 4: Simplify right side
    157,842.40x = 11,132,624,472
  5. Step 5: Solve for x
    x = 11,132,624,472/157,842.40
  6. Step 6: Final answer
    x = 70,530

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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.