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Finding the Fourth Proportional to 145,858.86, 218,656.80 and 52,342.74

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Solution

The fourth proportional to 145,858.86, 218,656.80 and 52,342.74 is: 78,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,858.86 : 218,656.80 = 52,342.74 : x
  2. Step 2: Convert to fraction form
    145,858.86/218,656.80 = 52,342.74/x
  3. Step 3: Cross multiply
    145,858.86x = 218,656.80 × 52,342.74
  4. Step 4: Simplify right side
    145,858.86x = 11,445,096,031.63
  5. Step 5: Solve for x
    x = 11,445,096,031.63/145,858.86
  6. Step 6: Final answer
    x = 78,466.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.