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Finding the Fourth Proportional to 210,254.40, 290,178.86 and 119,592.86

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Solution

The fourth proportional to 210,254.40, 290,178.86 and 119,592.86 is: 165,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,254.40 : 290,178.86 = 119,592.86 : x
  2. Step 2: Convert to fraction form
    210,254.40/290,178.86 = 119,592.86/x
  3. Step 3: Cross multiply
    210,254.40x = 290,178.86 × 119,592.86
  4. Step 4: Simplify right side
    210,254.40x = 34,703,317,730.08
  5. Step 5: Solve for x
    x = 34,703,317,730.08/210,254.40
  6. Step 6: Final answer
    x = 165,053.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.