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Finding the Fourth Proportional to 141,471, 212,220.36 and 51,538.16

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Solution

The fourth proportional to 141,471, 212,220.36 and 51,538.16 is: 77,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,471 : 212,220.36 = 51,538.16 : x
  2. Step 2: Convert to fraction form
    141,471/212,220.36 = 51,538.16/x
  3. Step 3: Cross multiply
    141,471x = 212,220.36 × 51,538.16
  4. Step 4: Simplify right side
    141,471x = 10,937,446,868.94
  5. Step 5: Solve for x
    x = 10,937,446,868.94/141,471
  6. Step 6: Final answer
    x = 77,312.29

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1.5x scale

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.