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Finding the Fourth Proportional to 145,957.32, 201,421.04 and 78,889.32

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Solution

The fourth proportional to 145,957.32, 201,421.04 and 78,889.32 is: 108,867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,957.32 : 201,421.04 = 78,889.32 : x
  2. Step 2: Convert to fraction form
    145,957.32/201,421.04 = 78,889.32/x
  3. Step 3: Cross multiply
    145,957.32x = 201,421.04 × 78,889.32
  4. Step 4: Simplify right side
    145,957.32x = 15,889,968,879.29
  5. Step 5: Solve for x
    x = 15,889,968,879.29/145,957.32
  6. Step 6: Final answer
    x = 108,867.23

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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.