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Finding the Fourth Proportional to 145,477.16, 200,735.01 and 81,811.16

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Solution

The fourth proportional to 145,477.16, 200,735.01 and 81,811.16 is: 112,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,477.16 : 200,735.01 = 81,811.16 : x
  2. Step 2: Convert to fraction form
    145,477.16/200,735.01 = 81,811.16/x
  3. Step 3: Cross multiply
    145,477.16x = 200,735.01 × 81,811.16
  4. Step 4: Simplify right side
    145,477.16x = 16,422,363,017.04
  5. Step 5: Solve for x
    x = 16,422,363,017.04/145,477.16
  6. Step 6: Final answer
    x = 112,886.20

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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.