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Finding the Fourth Proportional to 102,415.91, 141,342.37 and 56,484.54

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Solution

The fourth proportional to 102,415.91, 141,342.37 and 56,484.54 is: 77,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.91 : 141,342.37 = 56,484.54 : x
  2. Step 2: Convert to fraction form
    102,415.91/141,342.37 = 56,484.54/x
  3. Step 3: Cross multiply
    102,415.91x = 141,342.37 × 56,484.54
  4. Step 4: Simplify right side
    102,415.91x = 7,983,658,045.25
  5. Step 5: Solve for x
    x = 7,983,658,045.25/102,415.91
  6. Step 6: Final answer
    x = 77,953.30

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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.