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Finding the Fourth Proportional to 208,011.96, 287,048.34 and 117,353.52

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Solution

The fourth proportional to 208,011.96, 287,048.34 and 117,353.52 is: 161,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,011.96 : 287,048.34 = 117,353.52 : x
  2. Step 2: Convert to fraction form
    208,011.96/287,048.34 = 117,353.52/x
  3. Step 3: Cross multiply
    208,011.96x = 287,048.34 × 117,353.52
  4. Step 4: Simplify right side
    208,011.96x = 33,686,133,109.16
  5. Step 5: Solve for x
    x = 33,686,133,109.16/208,011.96
  6. Step 6: Final answer
    x = 161,943.25

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1.5x scale

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.