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Finding the Fourth Proportional to 145,875, 201,307.52 and 78,807

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Solution

The fourth proportional to 145,875, 201,307.52 and 78,807 is: 108,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,875 : 201,307.52 = 78,807 : x
  2. Step 2: Convert to fraction form
    145,875/201,307.52 = 78,807/x
  3. Step 3: Cross multiply
    145,875x = 201,307.52 × 78,807
  4. Step 4: Simplify right side
    145,875x = 15,864,441,728.64
  5. Step 5: Solve for x
    x = 15,864,441,728.64/145,875
  6. Step 6: Final answer
    x = 108,753.67

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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.