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Finding the Fourth Proportional to 64,875, 97,312.50 and 15,627

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Solution

The fourth proportional to 64,875, 97,312.50 and 15,627 is: 23,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,875 : 97,312.50 = 15,627 : x
  2. Step 2: Convert to fraction form
    64,875/97,312.50 = 15,627/x
  3. Step 3: Cross multiply
    64,875x = 97,312.50 × 15,627
  4. Step 4: Simplify right side
    64,875x = 1,520,702,437.50
  5. Step 5: Solve for x
    x = 1,520,702,437.50/64,875
  6. Step 6: Final answer
    x = 23,440.50

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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.