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Finding the Fourth Proportional to 208,370.79, 287,534.61 and 117,734.63

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Solution

The fourth proportional to 208,370.79, 287,534.61 and 117,734.63 is: 162,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,370.79 : 287,534.61 = 117,734.63 : x
  2. Step 2: Convert to fraction form
    208,370.79/287,534.61 = 117,734.63/x
  3. Step 3: Cross multiply
    208,370.79x = 287,534.61 × 117,734.63
  4. Step 4: Simplify right side
    208,370.79x = 33,852,779,482.87
  5. Step 5: Solve for x
    x = 33,852,779,482.87/208,370.79
  6. Step 6: Final answer
    x = 162,464.13

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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.