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Finding the Fourth Proportional to 139,090.47, 191,943.16 and 75,427.53

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Solution

The fourth proportional to 139,090.47, 191,943.16 and 75,427.53 is: 104,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,090.47 : 191,943.16 = 75,427.53 : x
  2. Step 2: Convert to fraction form
    139,090.47/191,943.16 = 75,427.53/x
  3. Step 3: Cross multiply
    139,090.47x = 191,943.16 × 75,427.53
  4. Step 4: Simplify right side
    139,090.47x = 14,477,798,459.19
  5. Step 5: Solve for x
    x = 14,477,798,459.19/139,090.47
  6. Step 6: Final answer
    x = 104,089.08

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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.