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Finding the Fourth Proportional to 210,228.93, 315,424.80 and 77,201.01

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Solution

The fourth proportional to 210,228.93, 315,424.80 and 77,201.01 is: 115,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,228.93 : 315,424.80 = 77,201.01 : x
  2. Step 2: Convert to fraction form
    210,228.93/315,424.80 = 77,201.01/x
  3. Step 3: Cross multiply
    210,228.93x = 315,424.80 × 77,201.01
  4. Step 4: Simplify right side
    210,228.93x = 24,351,113,139.05
  5. Step 5: Solve for x
    x = 24,351,113,139.05/210,228.93
  6. Step 6: Final answer
    x = 115,831.41

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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.