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Finding the Fourth Proportional to 76,485.87, 105,538.14 and 47,802.15

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Solution

The fourth proportional to 76,485.87, 105,538.14 and 47,802.15 is: 65,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,485.87 : 105,538.14 = 47,802.15 : x
  2. Step 2: Convert to fraction form
    76,485.87/105,538.14 = 47,802.15/x
  3. Step 3: Cross multiply
    76,485.87x = 105,538.14 × 47,802.15
  4. Step 4: Simplify right side
    76,485.87x = 5,044,949,999.00
  5. Step 5: Solve for x
    x = 5,044,949,999.00/76,485.87
  6. Step 6: Final answer
    x = 65,959.24

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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.