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Finding the Fourth Proportional to 208,428.83, 287,632.04 and 112,935.45

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Solution

The fourth proportional to 208,428.83, 287,632.04 and 112,935.45 is: 155,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,428.83 : 287,632.04 = 112,935.45 : x
  2. Step 2: Convert to fraction form
    208,428.83/287,632.04 = 112,935.45/x
  3. Step 3: Cross multiply
    208,428.83x = 287,632.04 × 112,935.45
  4. Step 4: Simplify right side
    208,428.83x = 32,483,853,871.82
  5. Step 5: Solve for x
    x = 32,483,853,871.82/208,428.83
  6. Step 6: Final answer
    x = 155,851.06

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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.