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Finding the Fourth Proportional to 117,507, 162,159.66 and 64,515

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Solution

The fourth proportional to 117,507, 162,159.66 and 64,515 is: 89,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,507 : 162,159.66 = 64,515 : x
  2. Step 2: Convert to fraction form
    117,507/162,159.66 = 64,515/x
  3. Step 3: Cross multiply
    117,507x = 162,159.66 × 64,515
  4. Step 4: Simplify right side
    117,507x = 10,461,730,464.90
  5. Step 5: Solve for x
    x = 10,461,730,464.90/117,507
  6. Step 6: Final answer
    x = 89,030.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.