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Finding the Fourth Proportional to 56,119.76, 77,445 and 30,970.80

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Solution

The fourth proportional to 56,119.76, 77,445 and 30,970.80 is: 42,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,119.76 : 77,445 = 30,970.80 : x
  2. Step 2: Convert to fraction form
    56,119.76/77,445 = 30,970.80/x
  3. Step 3: Cross multiply
    56,119.76x = 77,445 × 30,970.80
  4. Step 4: Simplify right side
    56,119.76x = 2,398,533,606
  5. Step 5: Solve for x
    x = 2,398,533,606/56,119.76
  6. Step 6: Final answer
    x = 42,739.56

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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.