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Finding the Fourth Proportional to 186,282.72, 257,070.51 and 101,399.58

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Solution

The fourth proportional to 186,282.72, 257,070.51 and 101,399.58 is: 139,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,282.72 : 257,070.51 = 101,399.58 : x
  2. Step 2: Convert to fraction form
    186,282.72/257,070.51 = 101,399.58/x
  3. Step 3: Cross multiply
    186,282.72x = 257,070.51 × 101,399.58
  4. Step 4: Simplify right side
    186,282.72x = 26,066,841,744.39
  5. Step 5: Solve for x
    x = 26,066,841,744.39/186,282.72
  6. Step 6: Final answer
    x = 139,931.61

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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.