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Finding the Fourth Proportional to 56,325.96, 77,728.65 and 30,831.70

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Solution

The fourth proportional to 56,325.96, 77,728.65 and 30,831.70 is: 42,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,325.96 : 77,728.65 = 30,831.70 : x
  2. Step 2: Convert to fraction form
    56,325.96/77,728.65 = 30,831.70/x
  3. Step 3: Cross multiply
    56,325.96x = 77,728.65 × 30,831.70
  4. Step 4: Simplify right side
    56,325.96x = 2,396,506,418.21
  5. Step 5: Solve for x
    x = 2,396,506,418.21/56,325.96
  6. Step 6: Final answer
    x = 42,547.10

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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.