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Finding the Fourth Proportional to 213,108.68, 319,663.20 and 55,323.92

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Solution

The fourth proportional to 213,108.68, 319,663.20 and 55,323.92 is: 82,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,108.68 : 319,663.20 = 55,323.92 : x
  2. Step 2: Convert to fraction form
    213,108.68/319,663.20 = 55,323.92/x
  3. Step 3: Cross multiply
    213,108.68x = 319,663.20 × 55,323.92
  4. Step 4: Simplify right side
    213,108.68x = 17,685,021,303.74
  5. Step 5: Solve for x
    x = 17,685,021,303.74/213,108.68
  6. Step 6: Final answer
    x = 82,985.93

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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.