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Finding the Fourth Proportional to 112,970.64, 169,345.80 and 53,790.48

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Solution

The fourth proportional to 112,970.64, 169,345.80 and 53,790.48 is: 80,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,970.64 : 169,345.80 = 53,790.48 : x
  2. Step 2: Convert to fraction form
    112,970.64/169,345.80 = 53,790.48/x
  3. Step 3: Cross multiply
    112,970.64x = 169,345.80 × 53,790.48
  4. Step 4: Simplify right side
    112,970.64x = 9,109,191,867.98
  5. Step 5: Solve for x
    x = 9,109,191,867.98/112,970.64
  6. Step 6: Final answer
    x = 80,633.27

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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.