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Finding the Fourth Proportional to 51,602.25, 77,407.02 and 20,437.50

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Solution

The fourth proportional to 51,602.25, 77,407.02 and 20,437.50 is: 30,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,602.25 : 77,407.02 = 20,437.50 : x
  2. Step 2: Convert to fraction form
    51,602.25/77,407.02 = 20,437.50/x
  3. Step 3: Cross multiply
    51,602.25x = 77,407.02 × 20,437.50
  4. Step 4: Simplify right side
    51,602.25x = 1,582,005,971.25
  5. Step 5: Solve for x
    x = 1,582,005,971.25/51,602.25
  6. Step 6: Final answer
    x = 30,657.69

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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.