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Finding the Fourth Proportional to 118,678.41, 163,823.46 and 77,858.07

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Solution

The fourth proportional to 118,678.41, 163,823.46 and 77,858.07 is: 107,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,678.41 : 163,823.46 = 77,858.07 : x
  2. Step 2: Convert to fraction form
    118,678.41/163,823.46 = 77,858.07/x
  3. Step 3: Cross multiply
    118,678.41x = 163,823.46 × 77,858.07
  4. Step 4: Simplify right side
    118,678.41x = 12,754,978,416.32
  5. Step 5: Solve for x
    x = 12,754,978,416.32/118,678.41
  6. Step 6: Final answer
    x = 107,475.14

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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.