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Finding the Fourth Proportional to 118,312.83, 163,444.42 and 102,369.60

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Solution

The fourth proportional to 118,312.83, 163,444.42 and 102,369.60 is: 141,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,312.83 : 163,444.42 = 102,369.60 : x
  2. Step 2: Convert to fraction form
    118,312.83/163,444.42 = 102,369.60/x
  3. Step 3: Cross multiply
    118,312.83x = 163,444.42 × 102,369.60
  4. Step 4: Simplify right side
    118,312.83x = 16,731,739,421.95
  5. Step 5: Solve for x
    x = 16,731,739,421.95/118,312.83
  6. Step 6: Final answer
    x = 141,419.49

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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.