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Finding the Fourth Proportional to 85,703.42, 118,256.64 and 53,849.76

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Solution

The fourth proportional to 85,703.42, 118,256.64 and 53,849.76 is: 74,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,703.42 : 118,256.64 = 53,849.76 : x
  2. Step 2: Convert to fraction form
    85,703.42/118,256.64 = 53,849.76/x
  3. Step 3: Cross multiply
    85,703.42x = 118,256.64 × 53,849.76
  4. Step 4: Simplify right side
    85,703.42x = 6,368,091,682.41
  5. Step 5: Solve for x
    x = 6,368,091,682.41/85,703.42
  6. Step 6: Final answer
    x = 74,303.82

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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.