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Finding the Fourth Proportional to 105,345, 158,017.50 and 31,473

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Solution

The fourth proportional to 105,345, 158,017.50 and 31,473 is: 47,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,345 : 158,017.50 = 31,473 : x
  2. Step 2: Convert to fraction form
    105,345/158,017.50 = 31,473/x
  3. Step 3: Cross multiply
    105,345x = 158,017.50 × 31,473
  4. Step 4: Simplify right side
    105,345x = 4,973,284,777.50
  5. Step 5: Solve for x
    x = 4,973,284,777.50/105,345
  6. Step 6: Final answer
    x = 47,209.50

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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.