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Finding the Fourth Proportional to 76,878.95, 106,090.38 and 45,047.16

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Solution

The fourth proportional to 76,878.95, 106,090.38 and 45,047.16 is: 62,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878.95 : 106,090.38 = 45,047.16 : x
  2. Step 2: Convert to fraction form
    76,878.95/106,090.38 = 45,047.16/x
  3. Step 3: Cross multiply
    76,878.95x = 106,090.38 × 45,047.16
  4. Step 4: Simplify right side
    76,878.95x = 4,779,070,322.32
  5. Step 5: Solve for x
    x = 4,779,070,322.32/76,878.95
  6. Step 6: Final answer
    x = 62,163.58

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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.