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Finding the Fourth Proportional to 152,352, 228,615.50 and 118,978.38

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Solution

The fourth proportional to 152,352, 228,615.50 and 118,978.38 is: 178,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,352 : 228,615.50 = 118,978.38 : x
  2. Step 2: Convert to fraction form
    152,352/228,615.50 = 118,978.38/x
  3. Step 3: Cross multiply
    152,352x = 228,615.50 × 118,978.38
  4. Step 4: Simplify right side
    152,352x = 27,200,301,238.00
  5. Step 5: Solve for x
    x = 27,200,301,238.00/152,352
  6. Step 6: Final answer
    x = 178,535.90

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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.