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Finding the Fourth Proportional to 201,831.50, 278,536.11 and 112,407.50

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Solution

The fourth proportional to 201,831.50, 278,536.11 and 112,407.50 is: 155,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,831.50 : 278,536.11 = 112,407.50 : x
  2. Step 2: Convert to fraction form
    201,831.50/278,536.11 = 112,407.50/x
  3. Step 3: Cross multiply
    201,831.50x = 278,536.11 × 112,407.50
  4. Step 4: Simplify right side
    201,831.50x = 31,309,547,784.83
  5. Step 5: Solve for x
    x = 31,309,547,784.83/201,831.50
  6. Step 6: Final answer
    x = 155,127.16

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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.