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Finding the Fourth Proportional to 78,006.40, 117,009.60 and 46,513.60

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Solution

The fourth proportional to 78,006.40, 117,009.60 and 46,513.60 is: 69,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,006.40 : 117,009.60 = 46,513.60 : x
  2. Step 2: Convert to fraction form
    78,006.40/117,009.60 = 46,513.60/x
  3. Step 3: Cross multiply
    78,006.40x = 117,009.60 × 46,513.60
  4. Step 4: Simplify right side
    78,006.40x = 5,442,537,730.56
  5. Step 5: Solve for x
    x = 5,442,537,730.56/78,006.40
  6. Step 6: Final answer
    x = 69,770.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.