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Finding the Fourth Proportional to 210,238.80, 315,399.76 and 77,120.30

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Solution

The fourth proportional to 210,238.80, 315,399.76 and 77,120.30 is: 115,695.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,238.80 : 315,399.76 = 77,120.30 : x
  2. Step 2: Convert to fraction form
    210,238.80/315,399.76 = 77,120.30/x
  3. Step 3: Cross multiply
    210,238.80x = 315,399.76 × 77,120.30
  4. Step 4: Simplify right side
    210,238.80x = 24,323,724,111.13
  5. Step 5: Solve for x
    x = 24,323,724,111.13/210,238.80
  6. Step 6: Final answer
    x = 115,695.70

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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.