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Finding the Fourth Proportional to 56,275.65, 77,657.22 and 30,776.94

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Solution

The fourth proportional to 56,275.65, 77,657.22 and 30,776.94 is: 42,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,275.65 : 77,657.22 = 30,776.94 : x
  2. Step 2: Convert to fraction form
    56,275.65/77,657.22 = 30,776.94/x
  3. Step 3: Cross multiply
    56,275.65x = 77,657.22 × 30,776.94
  4. Step 4: Simplify right side
    56,275.65x = 2,390,051,600.51
  5. Step 5: Solve for x
    x = 2,390,051,600.51/56,275.65
  6. Step 6: Final answer
    x = 42,470.44

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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.