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Finding the Fourth Proportional to 46,978.29, 70,373.46 and 28,248

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Solution

The fourth proportional to 46,978.29, 70,373.46 and 28,248 is: 42,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.29 : 70,373.46 = 28,248 : x
  2. Step 2: Convert to fraction form
    46,978.29/70,373.46 = 28,248/x
  3. Step 3: Cross multiply
    46,978.29x = 70,373.46 × 28,248
  4. Step 4: Simplify right side
    46,978.29x = 1,987,909,498.08
  5. Step 5: Solve for x
    x = 1,987,909,498.08/46,978.29
  6. Step 6: Final answer
    x = 42,315.49

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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.