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Finding the Fourth Proportional to 46,978.61, 70,460.40 and 13,690.88

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Solution

The fourth proportional to 46,978.61, 70,460.40 and 13,690.88 is: 20,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.61 : 70,460.40 = 13,690.88 : x
  2. Step 2: Convert to fraction form
    46,978.61/70,460.40 = 13,690.88/x
  3. Step 3: Cross multiply
    46,978.61x = 70,460.40 × 13,690.88
  4. Step 4: Simplify right side
    46,978.61x = 964,664,881.15
  5. Step 5: Solve for x
    x = 964,664,881.15/46,978.61
  6. Step 6: Final answer
    x = 20,534.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.