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Finding the Fourth Proportional to 70,852.32, 106,205.58 and 31,428

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Solution

The fourth proportional to 70,852.32, 106,205.58 and 31,428 is: 47,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,852.32 : 106,205.58 = 31,428 : x
  2. Step 2: Convert to fraction form
    70,852.32/106,205.58 = 31,428/x
  3. Step 3: Cross multiply
    70,852.32x = 106,205.58 × 31,428
  4. Step 4: Simplify right side
    70,852.32x = 3,337,828,968.24
  5. Step 5: Solve for x
    x = 3,337,828,968.24/70,852.32
  6. Step 6: Final answer
    x = 47,109.66

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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.