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Finding the Fourth Proportional to 251,055.95, 346,459.94 and 137,878.70

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Solution

The fourth proportional to 251,055.95, 346,459.94 and 137,878.70 is: 190,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,055.95 : 346,459.94 = 137,878.70 : x
  2. Step 2: Convert to fraction form
    251,055.95/346,459.94 = 137,878.70/x
  3. Step 3: Cross multiply
    251,055.95x = 346,459.94 × 137,878.70
  4. Step 4: Simplify right side
    251,055.95x = 47,769,443,707.58
  5. Step 5: Solve for x
    x = 47,769,443,707.58/251,055.95
  6. Step 6: Final answer
    x = 190,274.10

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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.