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Finding the Fourth Proportional to 70,186.32, 105,160.68 and 42,426

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Solution

The fourth proportional to 70,186.32, 105,160.68 and 42,426 is: 63,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,186.32 : 105,160.68 = 42,426 : x
  2. Step 2: Convert to fraction form
    70,186.32/105,160.68 = 42,426/x
  3. Step 3: Cross multiply
    70,186.32x = 105,160.68 × 42,426
  4. Step 4: Simplify right side
    70,186.32x = 4,461,547,009.68
  5. Step 5: Solve for x
    x = 4,461,547,009.68/70,186.32
  6. Step 6: Final answer
    x = 63,567.19

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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.