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Finding the Fourth Proportional to 208,322.70, 287,503.04 and 117,695.32

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Solution

The fourth proportional to 208,322.70, 287,503.04 and 117,695.32 is: 162,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,322.70 : 287,503.04 = 117,695.32 : x
  2. Step 2: Convert to fraction form
    208,322.70/287,503.04 = 117,695.32/x
  3. Step 3: Cross multiply
    208,322.70x = 287,503.04 × 117,695.32
  4. Step 4: Simplify right side
    208,322.70x = 33,837,762,293.77
  5. Step 5: Solve for x
    x = 33,837,762,293.77/208,322.70
  6. Step 6: Final answer
    x = 162,429.55

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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.