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Finding the Fourth Proportional to 78,528, 108,368.64 and 43,200

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Solution

The fourth proportional to 78,528, 108,368.64 and 43,200 is: 59,616

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,528 : 108,368.64 = 43,200 : x
  2. Step 2: Convert to fraction form
    78,528/108,368.64 = 43,200/x
  3. Step 3: Cross multiply
    78,528x = 108,368.64 × 43,200
  4. Step 4: Simplify right side
    78,528x = 4,681,525,248
  5. Step 5: Solve for x
    x = 4,681,525,248/78,528
  6. Step 6: Final answer
    x = 59,616

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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.