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Finding the Fourth Proportional to 208,051.80, 312,077.70 and 158,285.40

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Solution

The fourth proportional to 208,051.80, 312,077.70 and 158,285.40 is: 237,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,051.80 : 312,077.70 = 158,285.40 : x
  2. Step 2: Convert to fraction form
    208,051.80/312,077.70 = 158,285.40/x
  3. Step 3: Cross multiply
    208,051.80x = 312,077.70 × 158,285.40
  4. Step 4: Simplify right side
    208,051.80x = 49,397,343,575.58
  5. Step 5: Solve for x
    x = 49,397,343,575.58/208,051.80
  6. Step 6: Final answer
    x = 237,428.10

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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.