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Finding the Fourth Proportional to 51,978.36, 77,967.37 and 12,535.47

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Solution

The fourth proportional to 51,978.36, 77,967.37 and 12,535.47 is: 18,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.36 : 77,967.37 = 12,535.47 : x
  2. Step 2: Convert to fraction form
    51,978.36/77,967.37 = 12,535.47/x
  3. Step 3: Cross multiply
    51,978.36x = 77,967.37 × 12,535.47
  4. Step 4: Simplify right side
    51,978.36x = 977,357,627.61
  5. Step 5: Solve for x
    x = 977,357,627.61/51,978.36
  6. Step 6: Final answer
    x = 18,803.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.