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Finding the Fourth Proportional to 208,430.80, 287,633.28 and 117,816.10

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Solution

The fourth proportional to 208,430.80, 287,633.28 and 117,816.10 is: 162,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,430.80 : 287,633.28 = 117,816.10 : x
  2. Step 2: Convert to fraction form
    208,430.80/287,633.28 = 117,816.10/x
  3. Step 3: Cross multiply
    208,430.80x = 287,633.28 × 117,816.10
  4. Step 4: Simplify right side
    208,430.80x = 33,887,831,279.81
  5. Step 5: Solve for x
    x = 33,887,831,279.81/208,430.80
  6. Step 6: Final answer
    x = 162,585.53

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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.