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Finding the Fourth Proportional to 78,509.16, 108,353.04 and 46,695.60

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Solution

The fourth proportional to 78,509.16, 108,353.04 and 46,695.60 is: 64,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.16 : 108,353.04 = 46,695.60 : x
  2. Step 2: Convert to fraction form
    78,509.16/108,353.04 = 46,695.60/x
  3. Step 3: Cross multiply
    78,509.16x = 108,353.04 × 46,695.60
  4. Step 4: Simplify right side
    78,509.16x = 5,059,610,214.62
  5. Step 5: Solve for x
    x = 5,059,610,214.62/78,509.16
  6. Step 6: Final answer
    x = 64,446.11

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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.