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Finding the Fourth Proportional to 51,459, 77,188.50 and 12,547

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Solution

The fourth proportional to 51,459, 77,188.50 and 12,547 is: 18,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,459 : 77,188.50 = 12,547 : x
  2. Step 2: Convert to fraction form
    51,459/77,188.50 = 12,547/x
  3. Step 3: Cross multiply
    51,459x = 77,188.50 × 12,547
  4. Step 4: Simplify right side
    51,459x = 968,484,109.50
  5. Step 5: Solve for x
    x = 968,484,109.50/51,459
  6. Step 6: Final answer
    x = 18,820.50

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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.