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Finding the Fourth Proportional to 78,649.58, 108,536.64 and 46,818.20

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Solution

The fourth proportional to 78,649.58, 108,536.64 and 46,818.20 is: 64,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.58 : 108,536.64 = 46,818.20 : x
  2. Step 2: Convert to fraction form
    78,649.58/108,536.64 = 46,818.20/x
  3. Step 3: Cross multiply
    78,649.58x = 108,536.64 × 46,818.20
  4. Step 4: Simplify right side
    78,649.58x = 5,081,490,023.07
  5. Step 5: Solve for x
    x = 5,081,490,023.07/78,649.58
  6. Step 6: Final answer
    x = 64,609.25

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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.